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ACT Math: Intermediate Algebra: Drill 5, Problem 3. What does f(g(-1)) equal?
- Intermediate Algebra / Functions
- Product Type / ACT Math
- Foreign Language / Arabic Subtitled
- Foreign Language / Korean Subtitled
- Foreign Language / Chinese Subtitled
- Foreign Language / Spanish Subtitled
- Functions / Build new functions from existing functions
- Functions / Build new functions from existing functions
- Functions / Build new functions from existing functions
- Functions / Build new functions from existing functions
- Intermediate Algebra / Modeling
Transcript
- 00:02
Here's an unshmoopy question you may find on an exam somewhere in life...
- 00:06
If f of x equals 1 over x plus 1, and g of x equals x squared, what does f of g of negative 1 equal?
- 00:13
And here are the potential answers...
- 00:19
It's asking us about composite functions.
- 00:25
When we solve for f of g of negative 1, we're basically trying to find the result of g of
Full Transcript
- 00:31
-1 when sent through the function f of x.
- 00:36
g of negative 1 is just negative 1 squared...or 1.
- 00:41
This gives us f of 1... with 1 as our new x value. 1 over 1 plus 1 equals 1/2.
- 00:50
So the answer is D.
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